Least Common Multiple of 546/87, 354/2823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 546/87, 354/2823 quickly i.e. 10738 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 546/87, 354/2823 is 10738.

LCM(546/87, 354/2823) = 10738

LCM of 546/87, 354/2823

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 546/87,354/2823

Given numbers are 546/87,354/2823

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 546,354

Least Common Multiple of Numerators i.e. LCM of 546,354 is 32214.

GCF of Denominators means GCF of 87,2823 as per the given fractions.

GCF of 87,2823 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 546,354

LCM of Fractions 546/87,354/2823 is 10738

2 546, 354
3 273, 177
91, 59

∴ So the LCM of the given numbers is 2 x 3 x 91 x 59 = 32214

Least Common Multiple of 546,354 with GCF Formula

Least Common Multiple of 546,354 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 546,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(546,354) = 6

common factors(in case of two or more numbers have common factors) = 1

GCF(546,354) x common factors =6 x 1 = 6

LCM(546,354) = ( 546 × 354 ) / 6

LCM(546,354) = 193284 / 6

LCM(546,354) = 32214


Lets's calculate GCF of 87,2823

3 87, 2823
29, 941

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32214/3

Therefore the LCM of Fractions 546/87,354/2823 is 10738

Greatest Common Factor of 87,2823 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,2823 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 2823

List of positive integer factors of 2823 that divides 2823 without a remainder.

1,3,941,2823

Greatest Common Factor

We found the factors 87,2823 . The biggest common factor number is the GCF number.
So the greatest common factor 87,2823 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 546/87, 354/2823

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 546/87, 354/2823?

Answer: LCM of Numerators as per given numbers 546/87, 354/2823 is

LCM of Numerators i.e. for 546,354 is 32214

GCF of denominators i.e. for 87,2823 is 3.

Thus, LCM of Fractions is 10738.Finally, LCM of Fractions for 546/87, 354/2823 is 10738.